(b) Compute the line integral [20 on a path c(t) = t²i+t²j+ k beginning at t = 0 and ending at t = 1. z cos x ds,

sketch the the vector field F(x. 4) = i + 145

For the vector field G = (yey + 3 cos(3x + y))i + (xeªy + cos(3x + y)) 3, find the line integral of G along the curve C from the origin along the x-axis to the point (2,0) and then counterclockwise around the circumference of the circle x² + y² = 4 to the point (2/√2,2/√√2). So G. dr =

2. Find the curl of the vector field. F = z°e* sin(2 y)i – e' cos yj+ xyzk to